L1-norm convergence of Hermite-Fejér interpolation based on the Laguerre and Hermite abscissas

L1-norm convergence of Hermite-Fejér interpolation based on the Laguerre and Hermite abscissas

Abstract: Convergence results are proved for Hermite–Fejér interpolation at the zeros of polynomials orthogonal with respect to generalized Laguerre and Hermite weights. These results can be applied to convergence of product integration rules.

Bibliographic Details
Main Authors: P. RABINOWITZ, L.GORI
Format: Article
Language:English
Published: Sapienza Università Editrice 1994-01-01
Series:Rendiconti di Matematica e delle Sue Applicazioni
Subjects:
hermite-fejér
lagrange
generalized laguerre weights
hermite weight
interpolatory product integration
convergence
l1–norm
Online Access:https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(1)/159-176.pdf

Internet

https://www1.mat.uniroma1.it/ricerca/rendiconti/ARCHIVIO/1994(1)/159-176.pdf

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